Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

About Bellman Principle and Solution Properties of Navier–Stokes Equations in the 3d Cauchy Problem

Version 1 : Received: 24 February 2024 / Approved: 26 February 2024 / Online: 26 February 2024 (14:14:30 CET)

How to cite: Semenov, V.I. About Bellman Principle and Solution Properties of Navier–Stokes Equations in the 3d Cauchy Problem. Preprints 2024, 2024021463. https://doi.org/10.20944/preprints202402.1463.v1 Semenov, V.I. About Bellman Principle and Solution Properties of Navier–Stokes Equations in the 3d Cauchy Problem. Preprints 2024, 2024021463. https://doi.org/10.20944/preprints202402.1463.v1

Abstract

The main purpose of this article is to consider the smoothness control of a weak solution after some moment if there is known solution regularity until this moment. The necessary tools can be varied. It is possible to control kinetic energy dissipation to fix moment or changing of velocity square or summability of acceleration square to fix at point time.

Keywords

Navier-Stokes equations 1; blow up solution 2; regular solution 3

Subject

Computer Science and Mathematics, Mathematics

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